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Finding the Fourth Proportional to 2,471.60, 3,412.04 and 1,423.46

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Solution

The fourth proportional to 2,471.60, 3,412.04 and 1,423.46 is: 1,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.60 : 3,412.04 = 1,423.46 : x
  2. Step 2: Convert to fraction form
    2,471.60/3,412.04 = 1,423.46/x
  3. Step 3: Cross multiply
    2,471.60x = 3,412.04 × 1,423.46
  4. Step 4: Simplify right side
    2,471.60x = 4,856,878.28
  5. Step 5: Solve for x
    x = 4,856,878.28/2,471.60
  6. Step 6: Final answer
    x = 1,965.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.